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In an election between two candidates one get 57% of the total votes cast and won the election by 9800 votes. Find the total number of votes cast–
- a)70000
- b)80000
- c)10000
- d)75000
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
In an election between two candidates one get 57% of the total votes ...
Winning candidates got = 57% votes
View all questions of this test
and losing candidates got = 100 – 57 = 43
∴ And won by = 9800 votes which is 57 – 43 = 14
∴ 14% = 9800
∴ 100% = 70000
∴ total votes = 70000
Most Upvoted Answer
In an election between two candidates one get 57% of the total votes ...
Given:
- One candidate received 57% of the total votes cast.
- The winning candidate won the election by 9800 votes.
To find:
The total number of votes cast.
Solution:
Let's assume the total number of votes cast as 'x'.
Step 1: Calculate the votes received by the winning candidate
The winning candidate received 57% of the total votes cast, so the votes received by the winning candidate = 57% of x.
Votes received by the winning candidate = (57/100) * x
Step 2: Calculate the votes received by the losing candidate
Since there are only two candidates, the losing candidate received the remaining votes.
Votes received by the losing candidate = Total votes cast - Votes received by the winning candidate
Votes received by the losing candidate = x - (57/100) * x = (100/100 - 57/100) * x = (43/100) * x
Step 3: Calculate the difference in votes
The winning candidate won the election by 9800 votes.
Votes received by the winning candidate - Votes received by the losing candidate = 9800
(57/100) * x - (43/100) * x = 9800
Simplifying the equation,
(14/100) * x = 9800
x = (9800 * 100) / 14
x = 70000
Therefore, the total number of votes cast is 70000.
Hence, option 'A' is the correct answer.
- One candidate received 57% of the total votes cast.
- The winning candidate won the election by 9800 votes.
To find:
The total number of votes cast.
Solution:
Let's assume the total number of votes cast as 'x'.
Step 1: Calculate the votes received by the winning candidate
The winning candidate received 57% of the total votes cast, so the votes received by the winning candidate = 57% of x.
Votes received by the winning candidate = (57/100) * x
Step 2: Calculate the votes received by the losing candidate
Since there are only two candidates, the losing candidate received the remaining votes.
Votes received by the losing candidate = Total votes cast - Votes received by the winning candidate
Votes received by the losing candidate = x - (57/100) * x = (100/100 - 57/100) * x = (43/100) * x
Step 3: Calculate the difference in votes
The winning candidate won the election by 9800 votes.
Votes received by the winning candidate - Votes received by the losing candidate = 9800
(57/100) * x - (43/100) * x = 9800
Simplifying the equation,
(14/100) * x = 9800
x = (9800 * 100) / 14
x = 70000
Therefore, the total number of votes cast is 70000.
Hence, option 'A' is the correct answer.
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In an election between two candidates one get 57% of the total votes cast and won the election by 9800 votes. Find the total number of votes cast–a)70000b)80000c)10000d)75000Correct answer is option 'A'. Can you explain this answer?
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